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3 years ago

If two lines intersect at right angles then two lines are perpendicular

Mathematics

2 answers:

creativ13 [48]3 years ago

5 0

Hypothesis : If two lines intersect at right angles
Conclusion: The two lines are perpendicular

Rudiy273 years ago

3 0

All definitions can be read as a conditional statement. They can be read forward (conditional) and backward (its converse). ex) perpendicular lines conditional If two lines are perpendicular, then they intersect to form right angles. converse If two lines intersect to form right angles, then they are perpendicular.

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Drag the simplified value into the box to match each expression.

Mama L [17]

Answer:

4^0 + 2 x 3 - 2 = 5

2^2 + 10 - 3 x 2 = 8

9 + 3^2 - 1 x 4 = 14

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3 years ago

Which equation represents a circle with a center at (–3, –5) and a radius of 6 units?

Shalnov [3]

Answer:

Step-by-step explanation:

The general equation of the circle is:

(x-h)²+(y-k)²=r²

(h, k)=(-3,-5) are the coordinates of the center of the circle.

r=6 is the radius

The equation of the circle is:

(x+3)²+(y+5)² = 36

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3 years ago

Scientists have discovered a vaccine for a debilitating disease. This year there were 570,000 reported new cases of the disease

Ket [755]

Answer: There are approximately 853827 new cases in 6 years.

Step-by-step explanation:

Since we have given that

Initial population = 570000

Rate at which population decreases is given by

$\frac{2}{3}$

Now,

First year =570000

Second year is given by

$570000\times (\frac{1}{3})$

Third year is given by

$570000(\frac{1}{3})^2$

so, there is common ratio ,

it becomes geometric progression, as there is exponential decline.

so,

$570000,570000\times \frac{1}{3},570000\times( \frac{1}{3})^2,......,570000\times (\frac{1}{3})^6$

a=570000

common ratio is given by

$r=\frac{a_2}{a_1}=\frac{1}{3}$

number of terms = 6

Sum of terms will be given by

$S_n=\frac{a(1-r^n)}{(1-r)}$

We'll put this value in this formula,

$S_6=\frac{570000(1-(\frac{1}{3})^6}{(1-\frac{1}{3})}\\\\=853827.16$

So, there are approximately 853827 new cases in 6 years.

6 0

3 years ago

Translate the following word sentence into a numerical expression: When you square five times a number, you get three more than

8090 [49]

“Square five times a number” with “a number” being x is the same as saying:

5x²

“three more than the number” is the same as saying:

3 + x

Therefore the sentence “When you square five times a number, you get three more than the number.” is the same as:

5x² = 3 + x

Hope this helps, have a great day! :)

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3 years ago

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Rob Polanski is a tractor salesman. Last week his total sales amounted to $38,642.00, and he received $2,704.94 in commission. W

pentagon [3]

2704.94 / 38642 = 0.07 = 7%

5 0

4 years ago

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